The London-based practice saw off competition from some of the world's leading architects, including Grimshaw and Rafael Viñoly Architects.
The Hopkins team, which includes Atelier 10, was set the challenge of creating a 'carbon-neutral scheme' by university bosses. The result is a building that will achieve the LEED Platinum rating - America's highest sustainability award.
Mike Taylor, the director in charge of the project, said: 'To be given the opportunity of designing a contemporary building across the street from Eero Saarinen's 1958 ice rink and on the same campus as Louis Kahn's Yale Center for British Art is a great honour and a significant challenge - especially taking into consideration the sustainable aspirations of the project.'
The Yale development is the second major scheme for Hopkins Architects in the US. The practice is already working on the Northern Arizona University's Applied Research and Development building, which is due to complete in 2007.
Part of a planned, international expansion programme, the firm is also designing projects in Japan, Dubai, Qatar, Bahrain and Italy.